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Finding the Fourth Proportional to 22,332.40, 30,819.08 and 12,261.76

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Solution

The fourth proportional to 22,332.40, 30,819.08 and 12,261.76 is: 16,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,332.40 : 30,819.08 = 12,261.76 : x
  2. Step 2: Convert to fraction form
    22,332.40/30,819.08 = 12,261.76/x
  3. Step 3: Cross multiply
    22,332.40x = 30,819.08 × 12,261.76
  4. Step 4: Simplify right side
    22,332.40x = 377,896,162.38
  5. Step 5: Solve for x
    x = 377,896,162.38/22,332.40
  6. Step 6: Final answer
    x = 16,921.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.